Yeah, it is definitely bigger than just a single box, but also definitely not as overwhelming as 588… 
If you’re vigilant enough, you may notice, that you have each shape within every other shape. Sounds stupid and confusing, but bear with me… A year or so ago I bought my first 7 strings guitar. by that time I was already familiar and mildly proficient with the 7 shapes on the 6 strings, so I figured I need to extend it to my new toy. Went at it with brute force: started on the low B and started counting the 2-2-1-2-2-2-1 pattern for B Ionian, then proceeded to C# Dorian and counted the 2-1-2-2-2-1-2 etc. Even made drawings of the “new” pattern boxes I had, saved them, wanted to print them out to use for practice and then came the “Fuckme, why didn’t I use my brains?” moment: After I had drawn out all seven “new” shapes I realized that they aren’t that new… The B Ionian on the seven string looked exactly like an F Lydian on six strings, I only had to add the 3 lowest notes on the B string. Went back to the 6 strings and took a goood hard look at the 7 shapes: if you take the Phrygian shape on a 6 string and omit the notes on the low E, the rest is the Aeolian shape with the top 3 notes “missing”. Go to Locrian, omit the low E, you get the Phrygian with top 3 notes missing, I hope you get my drift. So it really isn’t a lot, the catch here is to make the shapes and the transition bewtween the shapes second nature which can take time, even months.
Anyways, for starters, I would try connecting each shape to the two adjacent shapes. For example for the Ionian shape, connect it with the Locrian and Dorian shape and try playing freely within this bigger shape. You can do this with all 7 shapes and then you can easily piece them all together, since these bigger shapes will inevitably overlap. Eventuelly, you will (have to) see it in one piece to be able to move around freely on the neck. Or at least to be able to visualize the next or nearest shape.
To be honest, there are many ways to learn this, many ways to look at it and different methods will jibe differently with different people. But the end result should be the same, as they will all use the same 12 pitch classes, the same interval patterns for a given scale etc. For me, the way Kiko explains it makes a ton of sense, so his courses are a homerun for me. I hope you’ll feel the same after enrolling! 